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212033430 = 23357432609
BaseRepresentation
bin11001010001101…
…01111110010110
3112202222102012000
430220311332112
5413240032210
633012340130
75153153160
oct1450657626
9482872160
10212033430
11a9761944
125b014646
1334c0b58b
1420235930
1513934ac0
hexca35f96

212033430 has 128 divisors (see below), whose sum is σ = 661478400. Its totient is φ = 47319552.

The previous prime is 212033383. The next prime is 212033461. The reversal of 212033430 is 34330212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79966 + ... + 82574.

It is an arithmetic number, because the mean of its divisors is an integer number (5167800).

Almost surely, 2212033430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212033430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330739200).

212033430 is an abundant number, since it is smaller than the sum of its proper divisors (449444970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212033430 is a wasteful number, since it uses less digits than its factorization.

212033430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 212033430 is about 14561.3677242215. The cubic root of 212033430 is about 596.3045359713.

Adding to 212033430 its reverse (34330212), we get a palindrome (246363642).

The spelling of 212033430 in words is "two hundred twelve million, thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 43 45 54 63 70 86 90 105 126 129 135 189 210 215 258 270 301 315 378 387 430 602 630 645 774 903 945 1161 1290 1505 1806 1890 1935 2322 2609 2709 3010 3870 4515 5218 5418 5805 7827 8127 9030 11610 13045 13545 15654 16254 18263 23481 26090 27090 36526 39135 40635 46962 54789 70443 78270 81270 91315 109578 112187 117405 140886 164367 182630 224374 234810 273945 328734 336561 352215 493101 547890 560935 673122 704430 785309 821835 986202 1009683 1121870 1570618 1643670 1682805 2019366 2355927 2465505 3029049 3365610 3926545 4711854 4931010 5048415 6058098 7067781 7853090 10096830 11779635 14135562 15145245 21203343 23559270 30290490 35338905 42406686 70677810 106016715 212033430